Question

a (-5,4) and b (-11,10). find the midpoint of ab.
(-4, 12)
(-5, -4)
(-8, 7)
clear all

Explanation:

Step1: Recall mid - point formula

The mid - point formula for two points $(x_1,y_1)$ and $(x_2,y_2)$ is $(\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})$. Here $x_1=-5,y_1 = 4,x_2=-11,y_2 = 10$.

Step2: Calculate x - coordinate of mid - point

$x=\frac{-5+( - 11)}{2}=\frac{-5 - 11}{2}=\frac{-16}{2}=-8$.

Step3: Calculate y - coordinate of mid - point

$y=\frac{4 + 10}{2}=\frac{14}{2}=7$.

Answer:

$(-8,7)$